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A Coffeehouse Wishes to See If Customers Have Any Preference α=0.01\alpha = 0.01

Question 20

Multiple Choice

A coffeehouse wishes to see if customers have any preference among 5 different brands of coffee. A sample of 200 customers provided the data below. Find the rejection region used to test the claim that the probabilities show no preference. Use α=0.01\alpha = 0.01 .
 Brand 12345 Customers 3265185530\begin{array}{l|cllll}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 32 & 65 & 18 & 55 & 30\end{array}


A) χ2>14.860\chi ^ { 2 } > 14.860
B) χ2>11.143\chi ^ { 2 } > 11.143
C) χ2>13.277\chi ^ { 2 } > 13.277
D) χ2>9.488\chi ^ { 2 } > 9.488

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